Search results for "Hahn polynomials"

showing 2 items of 2 documents

Polynomials generated by linear operators

2004

We study the class of Banach algebra-valued n n -homogeneous polynomials generated by the n t h n^{th} powers of linear operators. We compare it with the finite type polynomials. We introduce a topology w E F w_{EF} on E , E, similar to the weak topology, to clarify the features of these polynomials.

Classical orthogonal polynomialsDiscrete mathematicsMacdonald polynomialsDifference polynomialsGegenbauer polynomialsApplied MathematicsGeneral MathematicsDiscrete orthogonal polynomialsHahn polynomialsWilson polynomialsOrthogonal polynomialsOPERADORES NÃO LINEARESMathematicsProceedings of the American Mathematical Society
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Factorization of absolutely continuous polynomials

2013

In this paper we study the ideal of dominated (p,s)-continuous polynomials, that extend the nowadays well known ideal of p-dominated polynomials to the more general setting of the interpolated ideals of polynomials. We give the polynomial version of Pietsch s factorization Theorem for this new ideal. Our factorization theorem requires new techniques inspired in the theory of Banach lattices.

Discrete mathematicsMathematics::Commutative AlgebraPietsch's domination theoremApplied MathematicsDiscrete orthogonal polynomialsClassical orthogonal polynomialsMacdonald polynomialsDifference polynomialsAbsolutely continuous polynomialsFactorization of polynomialsHahn polynomialsWilson polynomialsOrthogonal polynomialsMATEMATICA APLICADAAnalysisMathematicsJournal of Mathematical Analysis and Applications
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